To model their income, an employee who makes $25 an hour could use the equation y=25x , where y is their total income and x is the number of hours they’ve worked. Relate the domain to the given scenario by identifying the smallest possible value of x.

Answer 1

In the scenario provided, \(y = 25x\) represents the total income based on the number of hours worked (\(x\)). Since \(x\) represents the number of hours worked, it cannot be negative. Therefore, the smallest possible value of \(x\) is 0 hours, which corresponds to no work done and thus no income earned.

In terms of the domain for this function:

• The domain is \(x \geq 0\) (i.e., \(x\) can take any non-negative value).

So, the smallest possible value of \(x\) is \(0\).